Type I Error and Power of Latent Mean Methods and Manov a in Factorially Invariant and N Oninvariant Latent Variable Systems

Abstract

This article addresses the issue of Type I error rates and relative power of structured means, multiple-indicator multiple-cause, and multivariate analysis of variance approaches for testing construct mean differences within a one-factor, two-group design. This study crosses 3 dimensions factorially- group sample size (n = 100, 200, 400, 800), factor loading pattern (8 variations), and factor mean difference (<'.\K = .2, .5, .8).